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34001104201 = 172968967757
BaseRepresentation
bin11111101010100111…
…111010110101001001
310020202121002001111121
4133222213322311021
51024113240313301
623341521355241
72312402421451
oct375247726511
9106677061447
1034001104201
1113468811919
12670aa98b21
13328b2b228c
1419079a8d61
15d4001b3a1
hex7ea9fad49

34001104201 has 8 divisors (see below), whose sum is σ = 37242589320. Its totient is φ = 30897554688.

The previous prime is 34001104199. The next prime is 34001104213. The reversal of 34001104201 is 10240110043.

It can be written as a sum of positive squares in 4 ways, for example, as 4477617225 + 29523486976 = 66915^2 + 171824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34001104201 - 21 = 34001104199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34001104271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34483386 + ... + 34484371.

It is an arithmetic number, because the mean of its divisors is an integer number (4655323665).

Almost surely, 234001104201 is an apocalyptic number.

It is an amenable number.

34001104201 is a deficient number, since it is larger than the sum of its proper divisors (3241485119).

34001104201 is a wasteful number, since it uses less digits than its factorization.

34001104201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68967803.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34001104201 its reverse (10240110043), we get a palindrome (44241214244).

The spelling of 34001104201 in words is "thirty-four billion, one million, one hundred four thousand, two hundred one".

Divisors: 1 17 29 493 68967757 1172451869 2000064953 34001104201